What is the limit as x approaches+0 of sqrt(x^2+1) ?

The limit as x approaches+0 of sqrt(x^2+1) is 1

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limit as x approaches+0 of sqrt(x^2+1)

x \to + 0 lim (x^{2} + 1)

1

Solution steps

x \to 0 lim (x^{2} + 1)

Plug in the value

x = 0

= 0^{2} + 1

Simplify

= 1

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What is the limit as x approaches+0 of sqrt(x^2+1) ?
The limit as x approaches+0 of sqrt(x^2+1) is 1